All categories

3 years ago

Does anyone know how to solve this?

Mathematics

1 answer:

Margarita [4]3 years ago

4 0

Answer:

The correct option is c.

Step-by-step explanation:

Given that,

u = 7i+4j and v = 2i-3j

We need to find the product of u and v. The dot product of two vectors is given by :

$u{\cdot}v=(7i+4j){\cdot} (2i-3j)\\\\=(7i)(2i)+(4j)(-3j)\\\\=14-12\\\\=2$

So, the dot product of u and v is equal to 2.

You might be interested in

Together, two apples have 175 gram of fat. How many apples have a total of 4 grams of fat?

inysia [295]

I'm pretty sure if the answer accepts decimals, if two apples = 175 grams, then one apple equals 87.5 grams, and if we want an apple that equals four grams, it would be less than one apple so we would divide the grams of one apple till it equals 4, therefore 87.5/4 = 21.875

P.S. im not entirely sure this is right im just trying to help :)

4 0

3 years ago

What is the best fit equation for the trend line in the scatter plot?

nordsb [41]

Answer:

B the line goes down so its a negative gradient

and you do rise which is -1 over run which is 3

7 0

3 years ago

Jason's business computers need servicing. The expression 81x + 108 represents a contractor's total charges in dollars for fixin

Zielflug [23.3K]

Answer:

The Jason's company charges more than the contractor's company.

Step-by-step explanation:

There are two expressions given for total charges for two companies as 81 x+108 and 103 x+64.

Here x represents number of hours.

We are asked to find difference in total charges if that takes 45 minutes.

45 minutes = $\frac{3}{4}$ hours.

Plug in this value for x.

81x+108 = $81*\frac{3}{4} +108$

Simplify it

60.75 +108 =168.75

Now, for 103x+64 = $103 *\frac{3}{4} +64$

Simplify it,

77.25+64=141.25

If we see the total charge for both companies for 45 minutes, the Jason's business computers charges more than contractor's company.

5 0

3 years ago

Divide. simplify your answer (2x^4-6x^3+4x^2-3x)*(2x) pls show work

denis23 [38]

Distribute

2x × 2x^4 + 2x × -6x^3 + 2x ×4x^2 + 2x × - 3x

Take out the constants

(2 × 2)xx^4 + 2x × -6x^3 + 2x × 4x^2 + 2x × -3x

Simplify 2 × 2 to 4

4xx^4 + 2x × -6x^3 + 2x × 4x^2 + 2x × -3x

Use Product Rule: x^a x^b = x^a + b

4x^1 + 4 + 2x × -6x^3 + 2x ×4x^2 + 2x × -3x

Simplify 1 + 4 to 5

4x^5 + 2x × -6x^3 + 2x × 4x^2 + 2x × -3x

Take out the constants

4x^5 + (2 × -6)xx^3 + 2x × 4x^2 + 2x × -3x

Simplify 2 × -6 to -12

4x^5 - 12xx^3 + 2x × 4x^2 + 2x × -3x

Use the Product Rule: x^a x^b = x^a + b

4x^5 - 12x^1 + 3 + 2x × 4x^2 + 2x -3x

Simplify 1 + 3 to 4

4x^4 - 12x^4 + 2x ×4x^2 + 2x × -3x

Take out the constants

4x^5 - 12x^4 + (2 × 4)xx^2 + 2x × -3x

Simplify 2 × 4 to 8

4x^5 - 12x^4 + 8xx^2 + 2x × -3x

Use the Product Rule: x^a x^b = x^a + b

4x^5 - 12x^4 + 8x^ 1 + 2 + 2x × -3x

Simplify 1 + 2 to 3

4x^5 - 12x^4 + 8x^3 + 2x × -3x

Take out the constants

4x^5 - 12x^4 + 8x^3 + (2 × -3)xx

Simplify 2 × -3 to -6

4x^5 - 12x^4 + 8x^3 - 6xx

Use the Product Rule: x^a x^b = x^a + b

8 0

3 years ago

Read 2 more answers

LCM of 900 and 400 plz show step by step

OLga [1]

Answer:3,600

Step-by-step explanation:

Find the Prime factorization of 400: 2x2x2x2x5x5

Find the Prime factorization of 900: 2x2x3x3x5x5

Multiply each factor the greater number of times it occurs: 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5= 3,600

5 0

3 years ago